Scattering of radiation by a quasiperiodic two-dimensional medium (Q1101612)
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scientific article; zbMATH DE number 4046261
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Scattering of radiation by a quasiperiodic two-dimensional medium |
scientific article; zbMATH DE number 4046261 |
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Scattering of radiation by a quasiperiodic two-dimensional medium (English)
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1986
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We study the scattering of radiation by a medium presenting inhomogeneities distributed in a quasiperiodic way. We show the existence of quasiperiodic solutions of the two-dimensional stationary wave equation, under certain conditions on the index of refraction, using a technique based on Dinaburg-Sinai method for one-dimensional Schrödinger equation with a quasiperiodic potential. Moreover we show that the energy spectrum contains a nonempty absolutely continuous component, with a subset having high degeneracy, provided the inhomogeneities are small enough.
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absolutely continuous spectrum
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degeneracy
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scattering of radiation
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quasiperiodic
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existence
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stationary wave equation
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index of refraction
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Dinaburg-Sinai method
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Schrödinger equation
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quasiperiodic potential
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energy spectrum
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